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Finding the Fourth Proportional to 4,675, 7,007.12 and 1,898.63

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Solution

The fourth proportional to 4,675, 7,007.12 and 1,898.63 is: 2,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675 : 7,007.12 = 1,898.63 : x
  2. Step 2: Convert to fraction form
    4,675/7,007.12 = 1,898.63/x
  3. Step 3: Cross multiply
    4,675x = 7,007.12 × 1,898.63
  4. Step 4: Simplify right side
    4,675x = 13,303,893.21
  5. Step 5: Solve for x
    x = 13,303,893.21/4,675
  6. Step 6: Final answer
    x = 2,845.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.